One struck the headquarters of a local paramilitary brigade, while the other struck a convoy of cars leaving the building.

The attack happened after a series of explosions in recent weeks at weapons depots belonging to Iran-backed militias in Iraq.

The militias have blamed Israel and the United States for some of the attacks. Israel has hinted at its involvement. The Pentagon has denied any involvement.

Still, US officials admitted to the New York Times last week that Israel carried out air strikes against targets in Iraq, following speculation over the destruction of several weapons depots in the country.

Israeli Prime Minister Benjamin Netanyahu had already hinted last Thursday that his country had been involved in attacking assets linked to Iran-backed militias in Iraq.

Two senior American officials then appeared to support the allegation, saying Israel had carried out "several strikes in recent days on munitions storehouses for Iranian-backed groups in Iraq".

The alleged strikes mark the first attacks by Israel on Iraqi soil since 1981 when Israeli jets struck an under-construction nuclear reactor being built by then-president Saddam Hussein.